2552751734500 has 96 divisors (see below), whose sum is σ = 6083749316736. Its totient is φ = 928013552000.

The previous prime is 2552751734473. The next prime is 2552751734521. The reversal of 2552751734500 is 54371572552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20160387 + ... + 20286613.

It is an arithmetic number, because the mean of its divisors is an integer number (63372388716).

Almost surely, 2^{2552751734500} is an apocalyptic number.

2552751734500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552751734500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041874658368).

2552751734500 is an abundant number, since it is smaller than the sum of its proper divisors (3530997582236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2552751734500 is a wasteful number, since it uses less digits than its factorization.

2552751734500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129934 (or 129922 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 46.

The spelling of 2552751734500 in words is "two trillion, five hundred fifty-two billion, seven hundred fifty-one million, seven hundred thirty-four thousand, five hundred".